Not sure if you’re referring to the same thing, but for example:
If I am a sorc, have a sword, usable by many classes. Stats are MaxHealth, Crit Dmg, Vuln Dmg. None of those are class specific stats, so why does it say “Sorcerer” at lower right?
Aspect. The aspect on this sword is “Ice Shards Pierce n times and…” etc. Change the aspect to either one for your class or a universal one. The aspect is what is locking items.
Other than that, I’ve never seen a non-unique item hard bound to a specific class.